书目名称 | Mathematical Aspects of Multi–Porosity Continua |
编辑 | Brian Straughan |
视频video | |
概述 | Presents new analyses of nonlinear waves.Examples provided at the end of every chapter.Provides new models, including second sound.Includes an extensive bibliography |
丛书名称 | Advances in Mechanics and Mathematics |
图书封面 |  |
描述 | .This book is devoted to describing theories for porous media where such pores have an inbuilt macro structure and a micro structure. For example, a double porosity material has pores on a macro scale, but additionally there are cracks or fissures in the solid skeleton. The actual body is allowed to deform and thus the underlying theory is one of elasticity. Various different descriptions are reviewed..Chapter 1 introduces the classical linear theory of elastodynamics together with uniqueness and continuous dependence results. Chapters 2 and 3 review developments of theories for double and triple porosity using a pressure-displacement structure and also using voids-displacement. Chapter 4 compares various aspects of the pressure-displacement and voids-displacement theories via uniqueness studies and wave motion analysis. Mathematical analyses of double and triple porosity materials are included concentrating on uniqueness and stability studies in chapters 5 to 7. In chapters 8 and 9 the emphasis is on wave motion in double porosity materials with special attention paid to nonlinear waves. The final chapter embraces a novel area where an elastic body with a double porosity structure |
出版日期 | Textbook 2017 |
关键词 | Double Porosity; Triple Porosity; Elasticity; Continuous Dependence; Waves; Second Sound; Continuum Mechan |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-70172-1 |
isbn_softcover | 978-3-319-88895-8 |
isbn_ebook | 978-3-319-70172-1Series ISSN 1571-8689 Series E-ISSN 1876-9896 |
issn_series | 1571-8689 |
copyright | Springer International Publishing AG 2017 |